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Finding the Fourth Proportional to 4,289.85, 6,433.14 and 1,477.88

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Solution

The fourth proportional to 4,289.85, 6,433.14 and 1,477.88 is: 2,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.85 : 6,433.14 = 1,477.88 : x
  2. Step 2: Convert to fraction form
    4,289.85/6,433.14 = 1,477.88/x
  3. Step 3: Cross multiply
    4,289.85x = 6,433.14 × 1,477.88
  4. Step 4: Simplify right side
    4,289.85x = 9,507,387.68
  5. Step 5: Solve for x
    x = 9,507,387.68/4,289.85
  6. Step 6: Final answer
    x = 2,216.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.